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Finding the Fourth Proportional to 2,008.95, 3,013.76 and 970.80

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Solution

The fourth proportional to 2,008.95, 3,013.76 and 970.80 is: 1,456.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008.95 : 3,013.76 = 970.80 : x
  2. Step 2: Convert to fraction form
    2,008.95/3,013.76 = 970.80/x
  3. Step 3: Cross multiply
    2,008.95x = 3,013.76 × 970.80
  4. Step 4: Simplify right side
    2,008.95x = 2,925,758.21
  5. Step 5: Solve for x
    x = 2,925,758.21/2,008.95
  6. Step 6: Final answer
    x = 1,456.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.